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Finding the Fourth Proportional to 562,470.48, 776,222.64 and 320,776.20

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Solution

The fourth proportional to 562,470.48, 776,222.64 and 320,776.20 is: 442,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,470.48 : 776,222.64 = 320,776.20 : x
  2. Step 2: Convert to fraction form
    562,470.48/776,222.64 = 320,776.20/x
  3. Step 3: Cross multiply
    562,470.48x = 776,222.64 × 320,776.20
  4. Step 4: Simplify right side
    562,470.48x = 248,993,748,813.17
  5. Step 5: Solve for x
    x = 248,993,748,813.17/562,470.48
  6. Step 6: Final answer
    x = 442,678.79

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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.