Home / 470,352,985.36-649,123,478.23-282,188,360.50

Finding the Fourth Proportional to 470,352,985.36, 649,123,478.23 and 282,188,360.50

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Solution

The fourth proportional to 470,352,985.36, 649,123,478.23 and 282,188,360.50 is: 389,441,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,352,985.36 : 649,123,478.23 = 282,188,360.50 : x
  2. Step 2: Convert to fraction form
    470,352,985.36/649,123,478.23 = 282,188,360.50/x
  3. Step 3: Cross multiply
    470,352,985.36x = 649,123,478.23 × 282,188,360.50
  4. Step 4: Simplify right side
    470,352,985.36x = 183,175,090,083,781,152
  5. Step 5: Solve for x
    x = 183,175,090,083,781,152/470,352,985.36
  6. Step 6: Final answer
    x = 389,441,750.74

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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.