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Finding the Fourth Proportional to 535,874, 803,570.16 and 385,484

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Solution

The fourth proportional to 535,874, 803,570.16 and 385,484 is: 578,052.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,874 : 803,570.16 = 385,484 : x
  2. Step 2: Convert to fraction form
    535,874/803,570.16 = 385,484/x
  3. Step 3: Cross multiply
    535,874x = 803,570.16 × 385,484
  4. Step 4: Simplify right side
    535,874x = 309,763,439,557.44
  5. Step 5: Solve for x
    x = 309,763,439,557.44/535,874
  6. Step 6: Final answer
    x = 578,052.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.