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Finding the Fourth Proportional to 282,709.99, 390,142.80 and 153,648.46

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Solution

The fourth proportional to 282,709.99, 390,142.80 and 153,648.46 is: 212,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,709.99 : 390,142.80 = 153,648.46 : x
  2. Step 2: Convert to fraction form
    282,709.99/390,142.80 = 153,648.46/x
  3. Step 3: Cross multiply
    282,709.99x = 390,142.80 × 153,648.46
  4. Step 4: Simplify right side
    282,709.99x = 59,944,840,887.77
  5. Step 5: Solve for x
    x = 59,944,840,887.77/282,709.99
  6. Step 6: Final answer
    x = 212,036.51

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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.