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Finding the Fourth Proportional to 565,386.16, 780,239.46 and 310,737.76

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Solution

The fourth proportional to 565,386.16, 780,239.46 and 310,737.76 is: 428,821.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,386.16 : 780,239.46 = 310,737.76 : x
  2. Step 2: Convert to fraction form
    565,386.16/780,239.46 = 310,737.76/x
  3. Step 3: Cross multiply
    565,386.16x = 780,239.46 × 310,737.76
  4. Step 4: Simplify right side
    565,386.16x = 242,449,862,064.01
  5. Step 5: Solve for x
    x = 242,449,862,064.01/565,386.16
  6. Step 6: Final answer
    x = 428,821.71

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1.5x scale

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.