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Finding the Fourth Proportional to 455,712, 683,547.36 and 140,155.20

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Solution

The fourth proportional to 455,712, 683,547.36 and 140,155.20 is: 210,226.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,712 : 683,547.36 = 140,155.20 : x
  2. Step 2: Convert to fraction form
    455,712/683,547.36 = 140,155.20/x
  3. Step 3: Cross multiply
    455,712x = 683,547.36 × 140,155.20
  4. Step 4: Simplify right side
    455,712x = 95,802,716,950.27
  5. Step 5: Solve for x
    x = 95,802,716,950.27/455,712
  6. Step 6: Final answer
    x = 210,226.45

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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.