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Finding the Fourth Proportional to 518,946, 716,145.48 and 280,482

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Solution

The fourth proportional to 518,946, 716,145.48 and 280,482 is: 387,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,946 : 716,145.48 = 280,482 : x
  2. Step 2: Convert to fraction form
    518,946/716,145.48 = 280,482/x
  3. Step 3: Cross multiply
    518,946x = 716,145.48 × 280,482
  4. Step 4: Simplify right side
    518,946x = 200,865,916,521.36
  5. Step 5: Solve for x
    x = 200,865,916,521.36/518,946
  6. Step 6: Final answer
    x = 387,065.16

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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.