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Finding the Fourth Proportional to 546,303.84, 819,455.82 and 172,356

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Solution

The fourth proportional to 546,303.84, 819,455.82 and 172,356 is: 258,534.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,303.84 : 819,455.82 = 172,356 : x
  2. Step 2: Convert to fraction form
    546,303.84/819,455.82 = 172,356/x
  3. Step 3: Cross multiply
    546,303.84x = 819,455.82 × 172,356
  4. Step 4: Simplify right side
    546,303.84x = 141,238,127,311.92
  5. Step 5: Solve for x
    x = 141,238,127,311.92/546,303.84
  6. Step 6: Final answer
    x = 258,534.02

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1.5x scale

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.