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Finding the Fourth Proportional to 559,872,809.60, 839,809,214.40 and 519,058,140.80

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Solution

The fourth proportional to 559,872,809.60, 839,809,214.40 and 519,058,140.80 is: 778,587,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,809.60 : 839,809,214.40 = 519,058,140.80 : x
  2. Step 2: Convert to fraction form
    559,872,809.60/839,809,214.40 = 519,058,140.80/x
  3. Step 3: Cross multiply
    559,872,809.60x = 839,809,214.40 × 519,058,140.80
  4. Step 4: Simplify right side
    559,872,809.60x = 435,909,809,453,172,608
  5. Step 5: Solve for x
    x = 435,909,809,453,172,608/559,872,809.60
  6. Step 6: Final answer
    x = 778,587,211.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.