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Finding the Fourth Proportional to 562,807.05, 777,355.34 and 409,602.30

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Solution

The fourth proportional to 562,807.05, 777,355.34 and 409,602.30 is: 565,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,807.05 : 777,355.34 = 409,602.30 : x
  2. Step 2: Convert to fraction form
    562,807.05/777,355.34 = 409,602.30/x
  3. Step 3: Cross multiply
    562,807.05x = 777,355.34 × 409,602.30
  4. Step 4: Simplify right side
    562,807.05x = 318,406,535,181.28
  5. Step 5: Solve for x
    x = 318,406,535,181.28/562,807.05
  6. Step 6: Final answer
    x = 565,747.24

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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.