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Finding the Fourth Proportional to 280,970.46, 387,739.06 and 153,646.05

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Solution

The fourth proportional to 280,970.46, 387,739.06 and 153,646.05 is: 212,031.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,970.46 : 387,739.06 = 153,646.05 : x
  2. Step 2: Convert to fraction form
    280,970.46/387,739.06 = 153,646.05/x
  3. Step 3: Cross multiply
    280,970.46x = 387,739.06 × 153,646.05
  4. Step 4: Simplify right side
    280,970.46x = 59,574,574,999.71
  5. Step 5: Solve for x
    x = 59,574,574,999.71/280,970.46
  6. Step 6: Final answer
    x = 212,031.45

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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.