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Finding the Fourth Proportional to 715,295.16, 987,050.04 and 409,301.40

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Solution

The fourth proportional to 715,295.16, 987,050.04 and 409,301.40 is: 564,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,295.16 : 987,050.04 = 409,301.40 : x
  2. Step 2: Convert to fraction form
    715,295.16/987,050.04 = 409,301.40/x
  3. Step 3: Cross multiply
    715,295.16x = 987,050.04 × 409,301.40
  4. Step 4: Simplify right side
    715,295.16x = 404,000,963,242.06
  5. Step 5: Solve for x
    x = 404,000,963,242.06/715,295.16
  6. Step 6: Final answer
    x = 564,803.16

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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.