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Finding the Fourth Proportional to 405,182.40, 608,320.80 and 236,875.20

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Solution

The fourth proportional to 405,182.40, 608,320.80 and 236,875.20 is: 355,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,182.40 : 608,320.80 = 236,875.20 : x
  2. Step 2: Convert to fraction form
    405,182.40/608,320.80 = 236,875.20/x
  3. Step 3: Cross multiply
    405,182.40x = 608,320.80 × 236,875.20
  4. Step 4: Simplify right side
    405,182.40x = 144,096,111,164.16
  5. Step 5: Solve for x
    x = 144,096,111,164.16/405,182.40
  6. Step 6: Final answer
    x = 355,632.70

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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.