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Finding the Fourth Proportional to 458,509.96, 687,298.32 and 424,567.72

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Solution

The fourth proportional to 458,509.96, 687,298.32 and 424,567.72 is: 636,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,509.96 : 687,298.32 = 424,567.72 : x
  2. Step 2: Convert to fraction form
    458,509.96/687,298.32 = 424,567.72/x
  3. Step 3: Cross multiply
    458,509.96x = 687,298.32 × 424,567.72
  4. Step 4: Simplify right side
    458,509.96x = 291,804,680,682.23
  5. Step 5: Solve for x
    x = 291,804,680,682.23/458,509.96
  6. Step 6: Final answer
    x = 636,419.50

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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.