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Finding the Fourth Proportional to 538,153.62, 742,648.55 and 296,430.59

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Solution

The fourth proportional to 538,153.62, 742,648.55 and 296,430.59 is: 409,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,153.62 : 742,648.55 = 296,430.59 : x
  2. Step 2: Convert to fraction form
    538,153.62/742,648.55 = 296,430.59/x
  3. Step 3: Cross multiply
    538,153.62x = 742,648.55 × 296,430.59
  4. Step 4: Simplify right side
    538,153.62x = 220,143,742,643.75
  5. Step 5: Solve for x
    x = 220,143,742,643.75/538,153.62
  6. Step 6: Final answer
    x = 409,072.31

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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.