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Finding the Fourth Proportional to 563,718.48, 777,931.72 and 309,064.40

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Solution

The fourth proportional to 563,718.48, 777,931.72 and 309,064.40 is: 426,508.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,718.48 : 777,931.72 = 309,064.40 : x
  2. Step 2: Convert to fraction form
    563,718.48/777,931.72 = 309,064.40/x
  3. Step 3: Cross multiply
    563,718.48x = 777,931.72 × 309,064.40
  4. Step 4: Simplify right side
    563,718.48x = 240,431,000,282.77
  5. Step 5: Solve for x
    x = 240,431,000,282.77/563,718.48
  6. Step 6: Final answer
    x = 426,508.99

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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.