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Finding the Fourth Proportional to 208,032.30, 312,048.45 and 155,544.30

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Solution

The fourth proportional to 208,032.30, 312,048.45 and 155,544.30 is: 233,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,032.30 : 312,048.45 = 155,544.30 : x
  2. Step 2: Convert to fraction form
    208,032.30/312,048.45 = 155,544.30/x
  3. Step 3: Cross multiply
    208,032.30x = 312,048.45 × 155,544.30
  4. Step 4: Simplify right side
    208,032.30x = 48,537,357,721.34
  5. Step 5: Solve for x
    x = 48,537,357,721.34/208,032.30
  6. Step 6: Final answer
    x = 233,316.45

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1.5x scale

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.