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Finding the Fourth Proportional to 704,490, 972,196.20 and 402,690.48

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Solution

The fourth proportional to 704,490, 972,196.20 and 402,690.48 is: 555,712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,490 : 972,196.20 = 402,690.48 : x
  2. Step 2: Convert to fraction form
    704,490/972,196.20 = 402,690.48/x
  3. Step 3: Cross multiply
    704,490x = 972,196.20 × 402,690.48
  4. Step 4: Simplify right side
    704,490x = 391,494,154,432.18
  5. Step 5: Solve for x
    x = 391,494,154,432.18/704,490
  6. Step 6: Final answer
    x = 555,712.86

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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.