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Finding the Fourth Proportional to 283,313.61, 390,927.20 and 162,430.83

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Solution

The fourth proportional to 283,313.61, 390,927.20 and 162,430.83 is: 224,128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,313.61 : 390,927.20 = 162,430.83 : x
  2. Step 2: Convert to fraction form
    283,313.61/390,927.20 = 162,430.83/x
  3. Step 3: Cross multiply
    283,313.61x = 390,927.20 × 162,430.83
  4. Step 4: Simplify right side
    283,313.61x = 63,498,628,753.42
  5. Step 5: Solve for x
    x = 63,498,628,753.42/283,313.61
  6. Step 6: Final answer
    x = 224,128.41

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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.