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Finding the Fourth Proportional to 316,931.94, 437,568.48 and 282,881.16

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Solution

The fourth proportional to 316,931.94, 437,568.48 and 282,881.16 is: 390,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,931.94 : 437,568.48 = 282,881.16 : x
  2. Step 2: Convert to fraction form
    316,931.94/437,568.48 = 282,881.16/x
  3. Step 3: Cross multiply
    316,931.94x = 437,568.48 × 282,881.16
  4. Step 4: Simplify right side
    316,931.94x = 123,779,879,201.84
  5. Step 5: Solve for x
    x = 123,779,879,201.84/316,931.94
  6. Step 6: Final answer
    x = 390,556.66

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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.