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Finding the Fourth Proportional to 560,069.40, 770,683.50 and 506,415

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Solution

The fourth proportional to 560,069.40, 770,683.50 and 506,415 is: 696,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,069.40 : 770,683.50 = 506,415 : x
  2. Step 2: Convert to fraction form
    560,069.40/770,683.50 = 506,415/x
  3. Step 3: Cross multiply
    560,069.40x = 770,683.50 × 506,415
  4. Step 4: Simplify right side
    560,069.40x = 390,285,684,652.50
  5. Step 5: Solve for x
    x = 390,285,684,652.50/560,069.40
  6. Step 6: Final answer
    x = 696,852.36

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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.