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Finding the Fourth Proportional to 575,685.60, 862,827.92 and 407,254.48

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Solution

The fourth proportional to 575,685.60, 862,827.92 and 407,254.48 is: 610,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,685.60 : 862,827.92 = 407,254.48 : x
  2. Step 2: Convert to fraction form
    575,685.60/862,827.92 = 407,254.48/x
  3. Step 3: Cross multiply
    575,685.60x = 862,827.92 × 407,254.48
  4. Step 4: Simplify right side
    575,685.60x = 351,390,539,221.75
  5. Step 5: Solve for x
    x = 351,390,539,221.75/575,685.60
  6. Step 6: Final answer
    x = 610,386.18

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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.