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Finding the Fourth Proportional to 535,848, 803,531.16 and 385,458

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Solution

The fourth proportional to 535,848, 803,531.16 and 385,458 is: 578,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,848 : 803,531.16 = 385,458 : x
  2. Step 2: Convert to fraction form
    535,848/803,531.16 = 385,458/x
  3. Step 3: Cross multiply
    535,848x = 803,531.16 × 385,458
  4. Step 4: Simplify right side
    535,848x = 309,727,513,871.28
  5. Step 5: Solve for x
    x = 309,727,513,871.28/535,848
  6. Step 6: Final answer
    x = 578,013.75

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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.