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Finding the Fourth Proportional to 312,547.05, 431,314.89 and 169,307.07

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Solution

The fourth proportional to 312,547.05, 431,314.89 and 169,307.07 is: 233,643.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,547.05 : 431,314.89 = 169,307.07 : x
  2. Step 2: Convert to fraction form
    312,547.05/431,314.89 = 169,307.07/x
  3. Step 3: Cross multiply
    312,547.05x = 431,314.89 × 169,307.07
  4. Step 4: Simplify right side
    312,547.05x = 73,024,660,273.27
  5. Step 5: Solve for x
    x = 73,024,660,273.27/312,547.05
  6. Step 6: Final answer
    x = 233,643.74

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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.