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Finding the Fourth Proportional to 495,014.66, 683,001.95 and 301,420.07

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Solution

The fourth proportional to 495,014.66, 683,001.95 and 301,420.07 is: 415,887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,014.66 : 683,001.95 = 301,420.07 : x
  2. Step 2: Convert to fraction form
    495,014.66/683,001.95 = 301,420.07/x
  3. Step 3: Cross multiply
    495,014.66x = 683,001.95 × 301,420.07
  4. Step 4: Simplify right side
    495,014.66x = 205,870,490,657.03
  5. Step 5: Solve for x
    x = 205,870,490,657.03/495,014.66
  6. Step 6: Final answer
    x = 415,887.67

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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.