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Finding the Fourth Proportional to 407,109.20, 610,663.80 and 302,133.20

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Solution

The fourth proportional to 407,109.20, 610,663.80 and 302,133.20 is: 453,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,109.20 : 610,663.80 = 302,133.20 : x
  2. Step 2: Convert to fraction form
    407,109.20/610,663.80 = 302,133.20/x
  3. Step 3: Cross multiply
    407,109.20x = 610,663.80 × 302,133.20
  4. Step 4: Simplify right side
    407,109.20x = 184,501,808,018.16
  5. Step 5: Solve for x
    x = 184,501,808,018.16/407,109.20
  6. Step 6: Final answer
    x = 453,199.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.