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Finding the Fourth Proportional to 864,000, 1,192,320 and 506,304

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Solution

The fourth proportional to 864,000, 1,192,320 and 506,304 is: 698,699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,000 : 1,192,320 = 506,304 : x
  2. Step 2: Convert to fraction form
    864,000/1,192,320 = 506,304/x
  3. Step 3: Cross multiply
    864,000x = 1,192,320 × 506,304
  4. Step 4: Simplify right side
    864,000x = 603,676,385,280
  5. Step 5: Solve for x
    x = 603,676,385,280/864,000
  6. Step 6: Final answer
    x = 698,699.52

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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.