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Finding the Fourth Proportional to 403,632, 557,065.62 and 260,807.40

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Solution

The fourth proportional to 403,632, 557,065.62 and 260,807.40 is: 359,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,632 : 557,065.62 = 260,807.40 : x
  2. Step 2: Convert to fraction form
    403,632/557,065.62 = 260,807.40/x
  3. Step 3: Cross multiply
    403,632x = 557,065.62 × 260,807.40
  4. Step 4: Simplify right side
    403,632x = 145,286,835,981.59
  5. Step 5: Solve for x
    x = 145,286,835,981.59/403,632
  6. Step 6: Final answer
    x = 359,948.76

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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.