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Finding the Fourth Proportional to 562,397.86, 776,109.09 and 307,749.07

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Solution

The fourth proportional to 562,397.86, 776,109.09 and 307,749.07 is: 424,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,397.86 : 776,109.09 = 307,749.07 : x
  2. Step 2: Convert to fraction form
    562,397.86/776,109.09 = 307,749.07/x
  3. Step 3: Cross multiply
    562,397.86x = 776,109.09 × 307,749.07
  4. Step 4: Simplify right side
    562,397.86x = 238,846,849,879.83
  5. Step 5: Solve for x
    x = 238,846,849,879.83/562,397.86
  6. Step 6: Final answer
    x = 424,693.74

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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.