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Finding the Fourth Proportional to 538,038.03, 742,468.52 and 308,430.71

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Solution

The fourth proportional to 538,038.03, 742,468.52 and 308,430.71 is: 425,620.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,038.03 : 742,468.52 = 308,430.71 : x
  2. Step 2: Convert to fraction form
    538,038.03/742,468.52 = 308,430.71/x
  3. Step 3: Cross multiply
    538,038.03x = 742,468.52 × 308,430.71
  4. Step 4: Simplify right side
    538,038.03x = 229,000,092,776.25
  5. Step 5: Solve for x
    x = 229,000,092,776.25/538,038.03
  6. Step 6: Final answer
    x = 425,620.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.