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Finding the Fourth Proportional to 601,548, 899,829.18 and 458,310

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Solution

The fourth proportional to 601,548, 899,829.18 and 458,310 is: 685,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,548 : 899,829.18 = 458,310 : x
  2. Step 2: Convert to fraction form
    601,548/899,829.18 = 458,310/x
  3. Step 3: Cross multiply
    601,548x = 899,829.18 × 458,310
  4. Step 4: Simplify right side
    601,548x = 412,400,711,485.80
  5. Step 5: Solve for x
    x = 412,400,711,485.80/601,548
  6. Step 6: Final answer
    x = 685,565.76

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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.