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Finding the Fourth Proportional to 564,017.48, 778,381.18 and 309,368.70

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Solution

The fourth proportional to 564,017.48, 778,381.18 and 309,368.70 is: 426,949.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,017.48 : 778,381.18 = 309,368.70 : x
  2. Step 2: Convert to fraction form
    564,017.48/778,381.18 = 309,368.70/x
  3. Step 3: Cross multiply
    564,017.48x = 778,381.18 × 309,368.70
  4. Step 4: Simplify right side
    564,017.48x = 240,806,773,761.07
  5. Step 5: Solve for x
    x = 240,806,773,761.07/564,017.48
  6. Step 6: Final answer
    x = 426,949.13

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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.