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Finding the Fourth Proportional to 346,547.20, 519,820.80 and 311,117.80

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Solution

The fourth proportional to 346,547.20, 519,820.80 and 311,117.80 is: 466,676.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,547.20 : 519,820.80 = 311,117.80 : x
  2. Step 2: Convert to fraction form
    346,547.20/519,820.80 = 311,117.80/x
  3. Step 3: Cross multiply
    346,547.20x = 519,820.80 × 311,117.80
  4. Step 4: Simplify right side
    346,547.20x = 161,725,503,690.24
  5. Step 5: Solve for x
    x = 161,725,503,690.24/346,547.20
  6. Step 6: Final answer
    x = 466,676.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.