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Finding the Fourth Proportional to 282,795, 390,259.62 and 153,733.72

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Solution

The fourth proportional to 282,795, 390,259.62 and 153,733.72 is: 212,153.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,795 : 390,259.62 = 153,733.72 : x
  2. Step 2: Convert to fraction form
    282,795/390,259.62 = 153,733.72/x
  3. Step 3: Cross multiply
    282,795x = 390,259.62 × 153,733.72
  4. Step 4: Simplify right side
    282,795x = 59,996,063,148.39
  5. Step 5: Solve for x
    x = 59,996,063,148.39/282,795
  6. Step 6: Final answer
    x = 212,153.90

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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.