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Finding the Fourth Proportional to 653,840.87, 902,702.95 and 518,421.83

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Solution

The fourth proportional to 653,840.87, 902,702.95 and 518,421.83 is: 715,741.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,840.87 : 902,702.95 = 518,421.83 : x
  2. Step 2: Convert to fraction form
    653,840.87/902,702.95 = 518,421.83/x
  3. Step 3: Cross multiply
    653,840.87x = 902,702.95 × 518,421.83
  4. Step 4: Simplify right side
    653,840.87x = 467,980,909,475.83
  5. Step 5: Solve for x
    x = 467,980,909,475.83/653,840.87
  6. Step 6: Final answer
    x = 715,741.30

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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.