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Finding the Fourth Proportional to 521,352, 719,465.76 and 282,888

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Solution

The fourth proportional to 521,352, 719,465.76 and 282,888 is: 390,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,352 : 719,465.76 = 282,888 : x
  2. Step 2: Convert to fraction form
    521,352/719,465.76 = 282,888/x
  3. Step 3: Cross multiply
    521,352x = 719,465.76 × 282,888
  4. Step 4: Simplify right side
    521,352x = 203,528,229,914.88
  5. Step 5: Solve for x
    x = 203,528,229,914.88/521,352
  6. Step 6: Final answer
    x = 390,385.44

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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.