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Finding the Fourth Proportional to 645,464.16, 890,772.09 and 358,978.10

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Solution

The fourth proportional to 645,464.16, 890,772.09 and 358,978.10 is: 495,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,464.16 : 890,772.09 = 358,978.10 : x
  2. Step 2: Convert to fraction form
    645,464.16/890,772.09 = 358,978.10/x
  3. Step 3: Cross multiply
    645,464.16x = 890,772.09 × 358,978.10
  4. Step 4: Simplify right side
    645,464.16x = 319,767,666,601.20
  5. Step 5: Solve for x
    x = 319,767,666,601.20/645,464.16
  6. Step 6: Final answer
    x = 495,407.32

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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.