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Finding the Fourth Proportional to 562,072.47, 775,678.53 and 307,423.63

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Solution

The fourth proportional to 562,072.47, 775,678.53 and 307,423.63 is: 424,254.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,072.47 : 775,678.53 = 307,423.63 : x
  2. Step 2: Convert to fraction form
    562,072.47/775,678.53 = 307,423.63/x
  3. Step 3: Cross multiply
    562,072.47x = 775,678.53 × 307,423.63
  4. Step 4: Simplify right side
    562,072.47x = 238,461,909,405.66
  5. Step 5: Solve for x
    x = 238,461,909,405.66/562,072.47
  6. Step 6: Final answer
    x = 424,254.74

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Double scale
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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.