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Finding the Fourth Proportional to 546,779.16, 820,168.74 and 172,773

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Solution

The fourth proportional to 546,779.16, 820,168.74 and 172,773 is: 259,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,779.16 : 820,168.74 = 172,773 : x
  2. Step 2: Convert to fraction form
    546,779.16/820,168.74 = 172,773/x
  3. Step 3: Cross multiply
    546,779.16x = 820,168.74 × 172,773
  4. Step 4: Simplify right side
    546,779.16x = 141,703,013,716.02
  5. Step 5: Solve for x
    x = 141,703,013,716.02/546,779.16
  6. Step 6: Final answer
    x = 259,159.50

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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.