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Finding the Fourth Proportional to 470,975.69, 706,488.06 and 155,457.20

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Solution

The fourth proportional to 470,975.69, 706,488.06 and 155,457.20 is: 233,193.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,975.69 : 706,488.06 = 155,457.20 : x
  2. Step 2: Convert to fraction form
    470,975.69/706,488.06 = 155,457.20/x
  3. Step 3: Cross multiply
    470,975.69x = 706,488.06 × 155,457.20
  4. Step 4: Simplify right side
    470,975.69x = 109,828,655,641.03
  5. Step 5: Solve for x
    x = 109,828,655,641.03/470,975.69
  6. Step 6: Final answer
    x = 233,193.90

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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.