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Finding the Fourth Proportional to 840,119,349.03, 1,159,334,319 and 463,767,857.52

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Solution

The fourth proportional to 840,119,349.03, 1,159,334,319 and 463,767,857.52 is: 639,982,871.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,119,349.03 : 1,159,334,319 = 463,767,857.52 : x
  2. Step 2: Convert to fraction form
    840,119,349.03/1,159,334,319 = 463,767,857.52/x
  3. Step 3: Cross multiply
    840,119,349.03x = 1,159,334,319 × 463,767,857.52
  4. Step 4: Simplify right side
    840,119,349.03x = 537,661,993,272,038,208
  5. Step 5: Solve for x
    x = 537,661,993,272,038,208/840,119,349.03
  6. Step 6: Final answer
    x = 639,982,871.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.