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Finding the Fourth Proportional to 645,878.46, 891,312.12 and 359,417.10

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Solution

The fourth proportional to 645,878.46, 891,312.12 and 359,417.10 is: 495,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,878.46 : 891,312.12 = 359,417.10 : x
  2. Step 2: Convert to fraction form
    645,878.46/891,312.12 = 359,417.10/x
  3. Step 3: Cross multiply
    645,878.46x = 891,312.12 × 359,417.10
  4. Step 4: Simplify right side
    645,878.46x = 320,352,817,365.25
  5. Step 5: Solve for x
    x = 320,352,817,365.25/645,878.46
  6. Step 6: Final answer
    x = 495,995.51

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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.