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Finding the Fourth Proportional to 507,965.80, 710,219 and 507,965.80

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Solution

The fourth proportional to 507,965.80, 710,219 and 507,965.80 is: 710,219

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,965.80 : 710,219 = 507,965.80 : x
  2. Step 2: Convert to fraction form
    507,965.80/710,219 = 507,965.80/x
  3. Step 3: Cross multiply
    507,965.80x = 710,219 × 507,965.80
  4. Step 4: Simplify right side
    507,965.80x = 360,766,962,510.20
  5. Step 5: Solve for x
    x = 360,766,962,510.20/507,965.80
  6. Step 6: Final answer
    x = 710,219

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.