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Finding the Fourth Proportional to 423,281.42, 634,756.74 and 153,345.48

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Solution

The fourth proportional to 423,281.42, 634,756.74 and 153,345.48 is: 229,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,281.42 : 634,756.74 = 153,345.48 : x
  2. Step 2: Convert to fraction form
    423,281.42/634,756.74 = 153,345.48/x
  3. Step 3: Cross multiply
    423,281.42x = 634,756.74 × 153,345.48
  4. Step 4: Simplify right side
    423,281.42x = 97,337,074,023.15
  5. Step 5: Solve for x
    x = 97,337,074,023.15/423,281.42
  6. Step 6: Final answer
    x = 229,958.30

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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.