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Finding the Fourth Proportional to 476,603.46, 657,587.16 and 282,960

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Solution

The fourth proportional to 476,603.46, 657,587.16 and 282,960 is: 390,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,603.46 : 657,587.16 = 282,960 : x
  2. Step 2: Convert to fraction form
    476,603.46/657,587.16 = 282,960/x
  3. Step 3: Cross multiply
    476,603.46x = 657,587.16 × 282,960
  4. Step 4: Simplify right side
    476,603.46x = 186,070,862,793.60
  5. Step 5: Solve for x
    x = 186,070,862,793.60/476,603.46
  6. Step 6: Final answer
    x = 390,410.22

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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.