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Finding the Fourth Proportional to 525,840.60, 790,316.10 and 457,411.80

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Solution

The fourth proportional to 525,840.60, 790,316.10 and 457,411.80 is: 687,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,840.60 : 790,316.10 = 457,411.80 : x
  2. Step 2: Convert to fraction form
    525,840.60/790,316.10 = 457,411.80/x
  3. Step 3: Cross multiply
    525,840.60x = 790,316.10 × 457,411.80
  4. Step 4: Simplify right side
    525,840.60x = 361,499,909,869.98
  5. Step 5: Solve for x
    x = 361,499,909,869.98/525,840.60
  6. Step 6: Final answer
    x = 687,470.52

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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.