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Finding the Fourth Proportional to 314,547.48, 469,540.66 and 291,132.90

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Solution

The fourth proportional to 314,547.48, 469,540.66 and 291,132.90 is: 434,588.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,547.48 : 469,540.66 = 291,132.90 : x
  2. Step 2: Convert to fraction form
    314,547.48/469,540.66 = 291,132.90/x
  3. Step 3: Cross multiply
    314,547.48x = 469,540.66 × 291,132.90
  4. Step 4: Simplify right side
    314,547.48x = 136,698,734,013.71
  5. Step 5: Solve for x
    x = 136,698,734,013.71/314,547.48
  6. Step 6: Final answer
    x = 434,588.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.