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Finding the Fourth Proportional to 457,101.60, 630,590.81 and 296,008.53

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Solution

The fourth proportional to 457,101.60, 630,590.81 and 296,008.53 is: 408,356.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,101.60 : 630,590.81 = 296,008.53 : x
  2. Step 2: Convert to fraction form
    457,101.60/630,590.81 = 296,008.53/x
  3. Step 3: Cross multiply
    457,101.60x = 630,590.81 × 296,008.53
  4. Step 4: Simplify right side
    457,101.60x = 186,660,254,854.85
  5. Step 5: Solve for x
    x = 186,660,254,854.85/457,101.60
  6. Step 6: Final answer
    x = 408,356.16

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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.