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Finding the Fourth Proportional to 586,761,603.40, 880,142,405.10 and 520,437,766.60

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Solution

The fourth proportional to 586,761,603.40, 880,142,405.10 and 520,437,766.60 is: 780,656,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,761,603.40 : 880,142,405.10 = 520,437,766.60 : x
  2. Step 2: Convert to fraction form
    586,761,603.40/880,142,405.10 = 520,437,766.60/x
  3. Step 3: Cross multiply
    586,761,603.40x = 880,142,405.10 × 520,437,766.60
  4. Step 4: Simplify right side
    586,761,603.40x = 458,059,347,600,196,480
  5. Step 5: Solve for x
    x = 458,059,347,600,196,480/586,761,603.40
  6. Step 6: Final answer
    x = 780,656,649.90

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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.