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Finding the Fourth Proportional to 944,280, 1,303,106.40 and 520,344

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Solution

The fourth proportional to 944,280, 1,303,106.40 and 520,344 is: 718,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,280 : 1,303,106.40 = 520,344 : x
  2. Step 2: Convert to fraction form
    944,280/1,303,106.40 = 520,344/x
  3. Step 3: Cross multiply
    944,280x = 1,303,106.40 × 520,344
  4. Step 4: Simplify right side
    944,280x = 678,063,596,601.60
  5. Step 5: Solve for x
    x = 678,063,596,601.60/944,280
  6. Step 6: Final answer
    x = 718,074.72

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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.