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Finding the Fourth Proportional to 470,038.10, 705,173.79 and 220,428.50

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Solution

The fourth proportional to 470,038.10, 705,173.79 and 220,428.50 is: 330,697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,038.10 : 705,173.79 = 220,428.50 : x
  2. Step 2: Convert to fraction form
    470,038.10/705,173.79 = 220,428.50/x
  3. Step 3: Cross multiply
    470,038.10x = 705,173.79 × 220,428.50
  4. Step 4: Simplify right side
    470,038.10x = 155,440,400,769.02
  5. Step 5: Solve for x
    x = 155,440,400,769.02/470,038.10
  6. Step 6: Final answer
    x = 330,697.45

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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.