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Finding the Fourth Proportional to 405,030.68, 607,543.82 and 165,143.64

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Solution

The fourth proportional to 405,030.68, 607,543.82 and 165,143.64 is: 247,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,030.68 : 607,543.82 = 165,143.64 : x
  2. Step 2: Convert to fraction form
    405,030.68/607,543.82 = 165,143.64/x
  3. Step 3: Cross multiply
    405,030.68x = 607,543.82 × 165,143.64
  4. Step 4: Simplify right side
    405,030.68x = 100,331,999,966.17
  5. Step 5: Solve for x
    x = 100,331,999,966.17/405,030.68
  6. Step 6: Final answer
    x = 247,714.57

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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.