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Finding the Fourth Proportional to 457,585.79, 631,254.80 and 287,913.47

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Solution

The fourth proportional to 457,585.79, 631,254.80 and 287,913.47 is: 397,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,585.79 : 631,254.80 = 287,913.47 : x
  2. Step 2: Convert to fraction form
    457,585.79/631,254.80 = 287,913.47/x
  3. Step 3: Cross multiply
    457,585.79x = 631,254.80 × 287,913.47
  4. Step 4: Simplify right side
    457,585.79x = 181,746,757,485.67
  5. Step 5: Solve for x
    x = 181,746,757,485.67/457,585.79
  6. Step 6: Final answer
    x = 397,186.20

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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.